Four massless springs whose force constants are 2k, 2k, k and 2 k respectively are…

Physics · JEE Advanced · NTA ExamsOscillations and Waves

Four massless springs whose force constants are 2k, 2k, k and 2 k respectively are attached to a mass M kept on a frictionless plane (as shown in figure). If the mass M is displaced in the horizontal direction, then the frequency of the system.  
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  1. \(\frac{1}{2 \pi} \sqrt{\frac{k}{4 M}}\)
  2. \(\frac{1}{2 \pi} \sqrt{\frac{4 k}{M}}\)
  3. \(\frac{1}{2 \pi} \sqrt{\frac{k}{7 M}}\)
  4. \(\frac{1}{2 \pi} \sqrt{\frac{7 k}{M}}\)

Answer

(B) 1 2 4 k M

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